Suzuki, Motoko Some explicit curves of genus three over finite fields of characteristic two with rational points. (English) Zbl 1033.14017 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 2. Proceedings of the International Society for Analysis, its Applications and Computation Congress, Fukuoka, Japan, August 16–21, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6598-4/hbk). Int. Soc. Anal. Appl. Comput. 8, 1171-1177 (2000). MSC: 14H25 14G50 14H55 14G15 14N10 94B27 PDFBibTeX XMLCite \textit{M. Suzuki}, Int. Soc. Anal. Appl. Comput. 8, 1171--1177 (2000; Zbl 1033.14017)
Gaudry, Pierrick; Harley, Robert Counting points on hyperelliptic curves over finite fields. (English) Zbl 1011.11041 Bosma, Wieb (ed.), Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1838, 313-332 (2000). Reviewer: Robert F.Lax (Baton Rouge) MSC: 11G20 14G15 14H25 14Q05 PDFBibTeX XMLCite \textit{P. Gaudry} and \textit{R. Harley}, Lect. Notes Comput. Sci. 1838, 313--332 (2000; Zbl 1011.11041)
Sairaiji, Fumio On congruences between the coefficients of two \(L\)-series which are related to a hyperelliptic curve over \(\mathbb Q\). (English) Zbl 1003.11018 Osaka J. Math. 37, No. 4, 789-799 (2000). Reviewer: A.Dabrowski (Szczecin) MSC: 11F33 11G30 11G40 PDFBibTeX XMLCite \textit{F. Sairaiji}, Osaka J. Math. 37, No. 4, 789--799 (2000; Zbl 1003.11018)
Chao, Jinhui; Matsuo, Kazuto; Kawashiro, Hiroto; Tsujii, Shigeo Construction of hyperelliptic curves with CM and its application to cryptosystems. (English) Zbl 0966.94009 Okamoto, Tatsuaki (ed.), Advances in cryptology - ASIACRYPT 2000. 6th international conference on the Theory and application of cryptology and information security, Kyoto, Japan, December 3-7, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1976, 259-273 (2000). MSC: 94A60 14G50 14H40 PDFBibTeX XMLCite \textit{J. Chao} et al., Lect. Notes Comput. Sci. 1976, 259--273 (2000; Zbl 0966.94009)
Kim, Jung Soo Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields. (English) Zbl 0974.11025 Proc. Japan Acad., Ser. A 76, No. 9, 129-131 (2000). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G05 11R16 PDFBibTeX XMLCite \textit{J. S. Kim}, Proc. Japan Acad., Ser. A 76, No. 9, 129--131 (2000; Zbl 0974.11025) Full Text: DOI
Yanchevskij, V.; Margolin, G.; Rehmann, U. Brauer groups of curves and unramified central simple algebras over their function fields. (English) Zbl 0979.14010 J. Math. Sci., New York 102, No. 3, 4071-4134 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14F22 14G20 16K50 14H25 14H52 14H40 PDFBibTeX XMLCite \textit{V. Yanchevskij} et al., J. Math. Sci., New York 102, No. 3, 4071--4134 (2000; Zbl 0979.14010) Full Text: DOI
Pakovich, F. On trees admitting morphisms onto hedgehogs or onto chains. (English. Russian original) Zbl 0987.14025 Russ. Math. Surv. 55, No. 3, 593-594 (2000); translation from Usp. Mat. Nauk 55, No. 3, 163-164 (2000). Reviewer: Antonio Cossidente (Potenza) MSC: 14H55 05C05 14H30 14H25 PDFBibTeX XMLCite \textit{F. Pakovich}, Russ. Math. Surv. 55, No. 3, 593--594 (2000; Zbl 0987.14025); translation from Usp. Mat. Nauk 55, No. 3, 163--164 (2000) Full Text: DOI
Maskit, Bernard A new characterization of hyperellipticity. (English) Zbl 0959.30025 Mich. Math. J. 47, No. 1, 3-14 (2000). Reviewer: Gou Nakamura (Toyota) MSC: 30F10 14H99 30F45 PDFBibTeX XMLCite \textit{B. Maskit}, Mich. Math. J. 47, No. 1, 3--14 (2000; Zbl 0959.30025) Full Text: DOI
Herrera, R. Intersection numbers on moduli spaces and symmetries of a Verlinde formula. II. (English) Zbl 1044.14012 J. Geom. Phys. 36, No. 1-2, 163-177 (2000). Reviewer: P. E. Newstead (Liverpool) MSC: 14H60 14D21 PDFBibTeX XMLCite \textit{R. Herrera}, J. Geom. Phys. 36, No. 1--2, 163--177 (2000; Zbl 1044.14012) Full Text: DOI
Audin, M. Eigenvectors of Lax matrices, spaces of hyperelliptic curves and action coordinates for Moser systems. (English) Zbl 0947.37049 Regul. Chaotic Dyn. 5, No. 1, 67-88 (2000). Reviewer: A.E.Mironov (Novosibirsk) MSC: 37K10 37D40 PDFBibTeX XMLCite \textit{M. Audin}, Regul. Chaotic Dyn. 5, No. 1, 67--88 (2000; Zbl 0947.37049)
Šuch, Ondrej Monodromy of Airy and Kloosterman sheaves. (English) Zbl 0976.14017 Duke Math. J. 103, No. 3, 397-444 (2000). Reviewer: A.Cossidente (Potenza) MSC: 14H10 14H60 14H52 14G15 PDFBibTeX XMLCite \textit{O. Šuch}, Duke Math. J. 103, No. 3, 397--444 (2000; Zbl 0976.14017) Full Text: DOI
Poonen, Bjorn Varieties without extra automorphisms. II: Hyperelliptic curves. (English) Zbl 0966.14020 Math. Res. Lett. 7, No. 1, 77-82 (2000). Reviewer: R.A.Hidalgo (Valparaiso) MSC: 14H37 11G99 14H55 14H52 PDFBibTeX XMLCite \textit{B. Poonen}, Math. Res. Lett. 7, No. 1, 77--82 (2000; Zbl 0966.14020) Full Text: DOI
Yanchevskii, Vyacheslav I. Brauer groups of curves and reciprocity laws in Brauer groups of their function fields. (English) Zbl 1045.14502 Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25–30, 1998. Berlin: Walter de Gruyter (ISBN 3-11-016399-3/hbk). 379-396 (2000). MSC: 14F22 14H52 PDFBibTeX XMLCite \textit{V. I. Yanchevskii}, in: Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25--30, 1998. Berlin: Walter de Gruyter. 379--396 (2000; Zbl 1045.14502)
Cirre, F. J. Automorphism groups of real algebraic curves which are double covers of the real projective plane. (English) Zbl 0984.14014 Manuscr. Math. 101, No. 4, 495-512 (2000). Reviewer: Manfred Streit (Frankfurt) MSC: 14H55 14H37 30F50 PDFBibTeX XMLCite \textit{F. J. Cirre}, Manuscr. Math. 101, No. 4, 495--512 (2000; Zbl 0984.14014) Full Text: DOI
Duursma, Iwan; Sakurai, Kouichi Efficient algorithms for the Jacobian variety of hyperelliptic curves \(y^2=x^p-x+1\) over a finite field of odd characteristic \(p\). (English) Zbl 1009.11047 Buchmann, Johannes (ed.) et al., Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 73-89 (2000). MSC: 11G20 11T71 94A60 PDFBibTeX XMLCite \textit{I. Duursma} and \textit{K. Sakurai}, in: Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 73--89 (2000; Zbl 1009.11047)
Buchholz, Ralph H.; MacDougall, James A. When Newton met Diophantus: a study of rational-derived polynomials and their extension to quadratic fields. (English) Zbl 1035.11009 J. Number Theory 81, No. 2, 210-233 (2000). Reviewer: Horst G. Zimmer (Saarbrücken) MSC: 11D25 11D41 11C08 14H52 11R09 14J25 14J27 11G30 14H40 11G05 PDFBibTeX XMLCite \textit{R. H. Buchholz} and \textit{J. A. MacDougall}, J. Number Theory 81, No. 2, 210--233 (2000; Zbl 1035.11009) Full Text: DOI Link
Arita, Seigo Gaudry’s variant against \(C_{ab}\) curves. (English) Zbl 0966.94006 Imai, Hideki (ed.) et al., Public key cryptography. 3rd international workshop on Practice and theory in public key cryptosystems, PKC 2000, Melbourne, Victoria, Australia, January 18-20, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1751, 58-67 (2000). MSC: 94A60 14G50 11Y16 PDFBibTeX XMLCite \textit{S. Arita}, Lect. Notes Comput. Sci. 1751, 58--67 (2000; Zbl 0966.94006)
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn Large torsion subgroups of split Jacobians of curves of genus two or three. (English) Zbl 0983.11037 Forum Math. 12, No. 3, 315-364 (2000). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G30 14H40 11G10 14H25 14H45 PDFBibTeX XMLCite \textit{E. W. Howe} et al., Forum Math. 12, No. 3, 315--364 (2000; Zbl 0983.11037) Full Text: DOI arXiv